Question

create a scale drawing of the playground using a scale of 1 centimeter to 20 meters. remember this given information:

the shape of your playground design is a trapezoid.

the original scale on the drawing is 1 centimeter to 30 meters.

in the original drawing, sides ab and da are 3 cm, side bc is about 5.5 cm and side cd is about 8 cm.

make sure you label each part of your drawing.

Explanation:

Step1: Calculate actual lengths

For side AB and DA: In original drawing, length = 3 cm. With original scale 1 cm : 30 m, actual length = 3×30 = 90 m. New - scale is 1 cm : 20 m, so new drawing length = $\frac{90}{20}=4.5$ cm.
For side BC: In original drawing, length = 5.5 cm. Actual length = 5.5×30 = 165 m. New drawing length = $\frac{165}{20}=8.25$ cm.
For side CD: In original drawing, length = 8 cm. Actual length = 8×30 = 240 m. New drawing length = $\frac{240}{20}=12$ cm.

Step2: Draw trapezoid

Draw a trapezoid with side AB = 4.5 cm, DA = 4.5 cm, BC = 8.25 cm and CD = 12 cm. Label the vertices A, B, C and D.

Answer:

Draw a trapezoid with side AB = 4.5 cm, DA = 4.5 cm, BC = 8.25 cm and CD = 12 cm and label the vertices A, B, C and D.